33 citations · 133 across the 43 of their papers we have counts for
4 papers · 1 filter
Spectrum of random perturbations of Toeplitz matrices with finite symbols
Anirban Basak, Elliot Paquette, Ofer Zeitouni
Let denote an Toeplitz matrix with finite, independent symbol . For a noise matrix satisfying mild assumptions (ensuring, in particular, that $…
The integer homology threshold in
Andrew Newman, Elliot Paquette
We prove that in the -dimensional Linial--Meshulam stochastic process the st homology group with integer coefficients vanishes exactly when the final isolated …
Surjectivity of near square random matrices
Hoi H. Nguyen, Elliot Paquette
We show that a nearly square iid random integral matrix is surjective over the integral lattice with very high probability. This answers a question by Koplewitz. Our result extends…
The maximum deviation of the Sine counting process
Diane Holcomb, Elliot Paquette
In this paper, we consider the maximum of the counting process from its expectation. We show the leading order behavior is consistent with the predictions of log-co…